Longest Increasing Subsequence

Find the length of the longest increasing subsequence in an array using dynamic programming.

Code

Algorithms

echo "$arr" | jq 'length as $n | [range($n)] | map(1) | . as $dp | reduce range(1; $n) as $i ($dp; reduce range($i) as $j (.; if (input_filename | . as $a | $a[$i] > $a[$j]) then .[$i] = ([.[$i], .[$j] + 1] | max) else . end)) | max' --slurpfile a <(echo "$arr") -n 'def lis: . as $arr | length as $n | [range($n) | 1] | reduce range(1; $n) as $i (.; reduce range($i) as $j (.; if $arr[$i] > $arr[$j] then .[$i] = ([.[$i], .[$j] + 1] | max) else . end)) | max; $a[0] | lis'

Parameters

arr(string)

Array of numbers (JSON)

Server

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